Importing Required Libraries

This cell imports necessary libraries for data manipulation, statistical modeling, visualization, and plotting.

Simulating Example Data

This cell generates example data simulating a study with factors like Diet, Housing, and Season, along with a response variable WeightGain.

Fitting Linear Model

This cell fits a linear regression model to the simulated data to analyze the effects of Diet, Housing, and Season on WeightGain.

Creating Interaction Plot

This cell creates an interaction plot using Seaborn to visualize the effects of Diet and Housing on WeightGain.

Performing Tukey's HSD Test

This cell perform Tukey's Honestly Significant Difference (HSD) test across all factors (Diet, Housing, Season, and their interactions), we'll need to conduct pairwise comparisons for each factor and their combinations.

To visualize the interaction among the three factors (Diet, Housing, and Season), you can create a plot that shows how the mean WeightGain varies across different combinations of these factors. One effective way to visualize such interactions is by using a 3D plot or a faceted plot (also known as small multiples).

Creating 3D Surface Plot using Plotly

This cell creates a 3D surface plot to visualize the predicted WeightGain based on Diet, Housing, and Season.